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The Premium Pencil Company makes perfectly cylindrical pencils that are 9 mm in diameter and 145 mm long.  Ten pencils are placed snugly in one layer side-by-side in a package.  How many packages of pencils will a 145 cm by 145 cm by 9 cm box hold?

 Jul 19, 2022
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145 cm    =   1450mm

9 cm =  90 mm

 

Volume of 10  pencils =  10 pi (4.5)^2 * 145  ≈  92,245 mm^3

 

Volume of box  =   1450^2 * 90   = 189225000 mm^3

 

floor  [ 189225000 / 92,245 ]  = 2051 packages 

 

 

 

cool cool cool

 Jul 19, 2022

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